circomlib/circuits/escalarmulw4table.circom

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/*
Copyright 2018 0KIMS association.
This file is part of circom (Zero Knowledge Circuit Compiler).
circom is a free software: you can redistribute it and/or modify it
under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
circom is distributed in the hope that it will be useful, but WITHOUT
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
License for more details.
You should have received a copy of the GNU General Public License
along with circom. If not, see <https://www.gnu.org/licenses/>.
*/
function pointAdd(x1,y1,x2,y2) {
var a = 168700;
var d = 168696;
var res[2];
res[0] = (x1*y2 + y1*x2) / (1 + d*x1*x2*y1*y2);
res[1] = (y1*y2 - a*x1*x2) / (1 - d*x1*x2*y1*y2);
return res;
}
function EscalarMulW4Table(base, k) {
var out[16][2];
var i;
var p[2];
var dbl[2] = base;
for (i=0; i<k*4; i++) {
dbl = pointAdd(dbl[0], dbl[1], dbl[0], dbl[1]);
}
out[0][0] = 0;
out[0][1] = 1;
for (i=1; i<16; i++) {
p = pointAdd(out[i-1][0], out[i-1][1], dbl[0], dbl[1]);
out[i][0] = p[0];
out[i][1] = p[1];
}
return out;
}